The value of int frac{1}{x^4} , dx is | vedclass

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Question

(A) To find the integral $\int \frac{1}{x^4} \, dx$,we rewrite the integrand as a power of $x$: $\int x^{-4} \, dx$. Using the power rule for integrat

Vedclass · Accepted Answer

$\frac{1}{-3x^3} + c$

Vedclass · Answer

(A) To find the integral $\int \frac{1}{x^4} \, dx$,we rewrite the integrand as a power of $x$: $\int x^{-4} \, dx$. Using the power rule for integration,$\int x^n \, dx = \frac{x^{n+1}}{n+1} + c$ (where $n 
eq -1$): $\int x^{-4} \, dx = \frac{x^{-4+1}}{-4+1} + c = \frac{x^{-3}}{-3} + c$. Simplifying the expression,we get: $-\frac{1}{3x^3} + c$.

The value of $\int \frac{1}{x^4} \, dx$ is

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